Question

For what values of the variable is the rational expression undefined? $$\frac{5}{x-4}$$

Short answer

The rational expression is undefined for \(x = 4\).

Step-by-step solution

Identify the denominator

The denominator of this rational expression is \(x-4\).

Set the denominator equal to zero

Since a rational expression is undefined when its denominator is equal to zero, set \(x - 4 = 0\).

Solve for \(x\)

Solving \(x - 4 = 0\) for \(x\) gives \(x = 4\).